The finite element method for fluid dynamics / 6th ed.
副标题：无
作 者：O.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu.
分类号：TB115
ISBN：9787506292566
微信扫一扫,移动浏览光盘
简介
这是一套在国际上颇具权威性的经典著作（共三卷）,由有限元法的创始人Zienkiewicz教授和美国加州大学Taylor教授合作撰写,初版于1967年,多次修订再版,深受力学界和工程界科技人员的欢迎。本套书的特点是理论可靠，内容全面，既有基础理论，又有其具体应用。
第2卷目次：固体力学和非线性的一般问题；Galerkin近似方法；非线性代数方程的解；非弹性和非线性材料；几何非线性问题—有限变形；有限性变的材料构成；约束处理；伪刚性体和刚柔性体；离散元方法；一维结构力学问题；板弯曲近似：薄（Kirchhoff）板和C1连续性要求；厚Reissner-Mindlin 板—不可简缩的和混合公式；作为扁平单元的壳；轴对称壳；作为三维分析的特殊情形的壳—Reissner-Mindlin假定；半解析有限元法—正交函数的利用和‘有限带’法；非线性结构问题—大位移和失稳；多尺度模型；有限元分析的计算机程序。
读者对象：计算力学、力学、土木、水利、机械、航天航空等领域的专家、教授、工程技术人员和研究生。更多>>
目录
preface.
acknowledgements
1 introduction to the equations of fluid dynamics and the finite element approximation
1.1 general remarks and classification of fluid dynamics problems discussed in this book
1.2 the governing equations of fluid dynamics
1.3 inviscid, incompressible flow
1.4 incompressible (or nearly incompressible) flows
1.5 numerical solutions: weak forms, weighted residual and finite element approximation
1.6 concluding remarks
references
2 convection dominated problems - finite element approximations to the
convection-diffusion-reaction equation
2.1 introduction
2.2 the steady-state problem in one dimension
2.3 the steady-state problem in two (or three) dimensions
2.4 steady state - concluding remarks
2.5 transients - introductory remarks
2.6 characteristic-based methods
2.7 taylor-galerkin procedures for scalar variables
2.8 steady-state condition
.2.9 non-linear waves and shocks
2.10 treatment of pure convection
2.11 boundary conditions for convection-diffusion
2.12 summary and concluding remarks
references
3 the characteristic-based split (cbs) algorithm. a general procedure for
compressible and incompressible flow
3.1 introduction
3.2 non-dimensional form of the governing equations
3.3 characteristic-based split (cbs) algorithm
3.4 explicit, semi-implicit and aearly implicit forms
3.5 artificial compressibility and dual 6me stepping
3.6 circumvention' of the babuska-brezzi (bb) restrictions
3.7 a single-step version
3.8 boundary conditions
3.9 the performance of two-step and one-step algorithms on an inviscid problem
3.10 concluding remarks
references
4 incompressible newtoman laminar flows
4.1 introduction and the basic equations
4.2 use of the cbs algorithm for incompressible flows
4.3 adaptive mesh refinement
4.4 adaptive mesh generation for transient problems
4.5 slow flows - mixed and penalty formulations
4.6 concluding remarks
references
5 incompressible non-newtonian flows
5.1 introduction
5.2 non-newtonian flows - metal and polymer forming
5.3 viscoelastic flows
5.4 direct displacement approach to transient metal forming
5.5 concluding remarks
references
6 free surface and buoyancy driven flows
6.1 introduction
6.2 free surface flows
6.3 buoyancy driven flows
6.4 concluding remarks
references
7 compressible high-speed gas flow
7.1 introduction
7.2 the governing equations
7.3 boundary conditions - subsonic and supersonic flow
7.4 numerical approximations and the cbs algorithm
7.5 shock capture
7.6 variable smoothing
7.7 some preliminary examples for the euler equation..
7.8 adaptive refinement and shock capture in euler problems
7.9 three-dimensional inviscid examples in steady state
7.10 transient two- and three-dimensional problems
7.11 viscous problems in two dimensions
7.12 three-dimensional viscous problems
7.13 boundary layer-inviscid eulex solution coupling
7.14 concluding remarks
references
8 turbulent flows
8.1 introduction
8.2 treatment of incompressible turbulent flows
8.3 treatment of compressible flows
8.4 large eddy simulation
8.5 detached eddy simulation (des)
8.6 direct numerical simulation (dns)
8.7 concluding remarks
references
9 generalized flow through porous media
9.1 introduction
9.2 a generalized porous medium flow approach
9.3 discretization procedure
9.4 non-isothermal flows
9.5 forced convection
9.6 natural convection
9.7 concluding remarks
references
10 shallow water problems
10.1 introduction
10.2 the basis of the shallow water equations
10.3 numerical approximation
10.4 examples of application
10.5 drying areas
10.6 shallow water transport
10.7 concluding remarks
references
11 long and medium waves
11.1 introduction and equations
11.2 waves in closed domains - finite element models
11.3 difficulties in modelling surface waves
11.4 bed friction and other effects
11.5 the short-wave problem
11.6 waves in unbounded domains (exterior surface wave problems)
11.7 unbounded problems
11.8 local non-reflecting boundary conditions (nrbcs)
11.9 infinite elements
11.10 mapped periodic (unconjugated) infinite elements
11.11 ellipsoidal type infinite elements of burnett and holford
11.12 wave envelope (or conjugated) infinite elements
11.13 accuracy of infinite elements
11.14 trefftz type infinite elements
11.15 convection and wave refraction
11.16 transient problems
11.17 linking to exterior solutions (or dtn mapping)
11.18 three-dimensional effects in surface waves
11.19 concluding remarks
references
12 short waves
12.1 introduction
12.2 background
12.3 errors in wave modelling
12.4 recent developments in short wave modelling
12.5 transient solution of electromagnetic scattering problems
12.6 finite elements incorporating wave shapes
12.7 refraction
12.8 spectral finite elements for waves
12.9 discontinuous galerkin finite elements (dgfe)
12.10 concluding remarks
references
13 computer implementation of the cbs algorithm
13.1 introduction
13.2 the data input module
13.3 solution module
13.4 output module
references
appendix a non-conservative form of navier-stokes equations
appendix b self-adjoint differential equations
appendix c postprocessing
appendix d integration formulae
appendix e convection-diffusion equations: vector-valued variables
appendix f edge-based finite element formulation
appendix g multigrid method
appendix h boundary layer-inviscid flow coupling
appendix i mass-weighted averaged turbulence transport equations
author index
subject index...
acknowledgements
1 introduction to the equations of fluid dynamics and the finite element approximation
1.1 general remarks and classification of fluid dynamics problems discussed in this book
1.2 the governing equations of fluid dynamics
1.3 inviscid, incompressible flow
1.4 incompressible (or nearly incompressible) flows
1.5 numerical solutions: weak forms, weighted residual and finite element approximation
1.6 concluding remarks
references
2 convection dominated problems - finite element approximations to the
convection-diffusion-reaction equation
2.1 introduction
2.2 the steady-state problem in one dimension
2.3 the steady-state problem in two (or three) dimensions
2.4 steady state - concluding remarks
2.5 transients - introductory remarks
2.6 characteristic-based methods
2.7 taylor-galerkin procedures for scalar variables
2.8 steady-state condition
.2.9 non-linear waves and shocks
2.10 treatment of pure convection
2.11 boundary conditions for convection-diffusion
2.12 summary and concluding remarks
references
3 the characteristic-based split (cbs) algorithm. a general procedure for
compressible and incompressible flow
3.1 introduction
3.2 non-dimensional form of the governing equations
3.3 characteristic-based split (cbs) algorithm
3.4 explicit, semi-implicit and aearly implicit forms
3.5 artificial compressibility and dual 6me stepping
3.6 circumvention' of the babuska-brezzi (bb) restrictions
3.7 a single-step version
3.8 boundary conditions
3.9 the performance of two-step and one-step algorithms on an inviscid problem
3.10 concluding remarks
references
4 incompressible newtoman laminar flows
4.1 introduction and the basic equations
4.2 use of the cbs algorithm for incompressible flows
4.3 adaptive mesh refinement
4.4 adaptive mesh generation for transient problems
4.5 slow flows - mixed and penalty formulations
4.6 concluding remarks
references
5 incompressible non-newtonian flows
5.1 introduction
5.2 non-newtonian flows - metal and polymer forming
5.3 viscoelastic flows
5.4 direct displacement approach to transient metal forming
5.5 concluding remarks
references
6 free surface and buoyancy driven flows
6.1 introduction
6.2 free surface flows
6.3 buoyancy driven flows
6.4 concluding remarks
references
7 compressible high-speed gas flow
7.1 introduction
7.2 the governing equations
7.3 boundary conditions - subsonic and supersonic flow
7.4 numerical approximations and the cbs algorithm
7.5 shock capture
7.6 variable smoothing
7.7 some preliminary examples for the euler equation..
7.8 adaptive refinement and shock capture in euler problems
7.9 three-dimensional inviscid examples in steady state
7.10 transient two- and three-dimensional problems
7.11 viscous problems in two dimensions
7.12 three-dimensional viscous problems
7.13 boundary layer-inviscid eulex solution coupling
7.14 concluding remarks
references
8 turbulent flows
8.1 introduction
8.2 treatment of incompressible turbulent flows
8.3 treatment of compressible flows
8.4 large eddy simulation
8.5 detached eddy simulation (des)
8.6 direct numerical simulation (dns)
8.7 concluding remarks
references
9 generalized flow through porous media
9.1 introduction
9.2 a generalized porous medium flow approach
9.3 discretization procedure
9.4 non-isothermal flows
9.5 forced convection
9.6 natural convection
9.7 concluding remarks
references
10 shallow water problems
10.1 introduction
10.2 the basis of the shallow water equations
10.3 numerical approximation
10.4 examples of application
10.5 drying areas
10.6 shallow water transport
10.7 concluding remarks
references
11 long and medium waves
11.1 introduction and equations
11.2 waves in closed domains - finite element models
11.3 difficulties in modelling surface waves
11.4 bed friction and other effects
11.5 the short-wave problem
11.6 waves in unbounded domains (exterior surface wave problems)
11.7 unbounded problems
11.8 local non-reflecting boundary conditions (nrbcs)
11.9 infinite elements
11.10 mapped periodic (unconjugated) infinite elements
11.11 ellipsoidal type infinite elements of burnett and holford
11.12 wave envelope (or conjugated) infinite elements
11.13 accuracy of infinite elements
11.14 trefftz type infinite elements
11.15 convection and wave refraction
11.16 transient problems
11.17 linking to exterior solutions (or dtn mapping)
11.18 three-dimensional effects in surface waves
11.19 concluding remarks
references
12 short waves
12.1 introduction
12.2 background
12.3 errors in wave modelling
12.4 recent developments in short wave modelling
12.5 transient solution of electromagnetic scattering problems
12.6 finite elements incorporating wave shapes
12.7 refraction
12.8 spectral finite elements for waves
12.9 discontinuous galerkin finite elements (dgfe)
12.10 concluding remarks
references
13 computer implementation of the cbs algorithm
13.1 introduction
13.2 the data input module
13.3 solution module
13.4 output module
references
appendix a non-conservative form of navier-stokes equations
appendix b self-adjoint differential equations
appendix c postprocessing
appendix d integration formulae
appendix e convection-diffusion equations: vector-valued variables
appendix f edge-based finite element formulation
appendix g multigrid method
appendix h boundary layer-inviscid flow coupling
appendix i mass-weighted averaged turbulence transport equations
author index
subject index...
The finite element method for fluid dynamics / 6th ed.
- 名称
- 类型
- 大小
光盘服务联系方式: 020-38250260 客服QQ：4006604884
云图客服：
用户发送的提问，这种方式就需要有位在线客服来回答用户的问题，这种 就属于对话式的,问题是这种提问是否需要用户登录才能提问
Video Player
×
Audio Player
×
pdf Player
×
